## Realated Questions

In how many rearrangements of the word AMAZED, is the letter ‘E’ positioned in between the 2 ‘A’s (Not necessarily flanked)?

Company BELIANCE hosted a party for 8 members of Company AXIAL. In the party no member of AXIAL had interacted with more than three members of BELIANCE. Out of all the members of BELIANCE. Three members- each interacted with four members of AXIAL and the remaining members-each interacted with two members of AXIAL. The greatest possible number of members of company BELIANCE in the party is:

a, b, c are three distinct integers from 2 to 10 (both inclusive). Exactly one of ab, bc, and ca is odd. Abc is a multiple of 4. The arithmetic mean of a and b is an integer and so is the arithmetic mean of a, b, and c How many such triplets are possible (unordered triplets).